Search a number
-
+
10056680 = 235251417
BaseRepresentation
bin100110010111…
…001111101000
3200220221011122
4212113033220
510033303210
6555314412
7151323524
oct46271750
920827148
1010056680
115749807
12344ba08
1321115ca
14149ad84
15d39b55
hex9973e8

10056680 has 16 divisors (see below), whose sum is σ = 22627620. Its totient is φ = 4022656.

The previous prime is 10056677. The next prime is 10056691. The reversal of 10056680 is 8665001.

It can be written as a sum of positive squares in 2 ways, for example, as 10023556 + 33124 = 3166^2 + 182^2 .

It is a super-2 number, since 2×100566802 = 202273625244800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125669 + ... + 125748.

Almost surely, 210056680 is an apocalyptic number.

10056680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056680 is an abundant number, since it is smaller than the sum of its proper divisors (12570940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10056680 is a wasteful number, since it uses less digits than its factorization.

10056680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251428 (or 251424 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 10056680 is about 3171.2268919142. The cubic root of 10056680 is about 215.8497469003.

The spelling of 10056680 in words is "ten million, fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 251417 502834 1005668 1257085 2011336 2514170 5028340 10056680